Question

The volume of a triangular pyramid is 110 cm³. The base of the triangle is 10 cm in the height of the triangle is 6 cm. Find the height of the pyramid.

Answer 1

The height of the pyramid is 11 cm.

Explanation:

We are given the following in the question:

Volume of triangular pyramid = 110 cubic cm

Base of trianle,b = 10 cm

Height of triangle,h = 6 cm

Area of triangular base =

`A = (1)/(2)* b* h\\\\A = (1)/(2)* 10* 6\\\\A = 30\text{ square cm}`

Volume of triangular pyramid =

`V = (1)/(3)AH`

where H is the height of the pyramid, A is the area of triangular base.

Putting values, we get,

`110 = (1)/(3)* 30* H\\\\H = (3* 110)/(30)\\\\H = 11\text{ cm}`

Thus, height of the pyramid is 11 cm.